Two-sided fractional quaternion Fourier transform and its application

DOI10.1186/S13660-021-02654-3zbMath1504.42028OpenAlexW3182961665MaRDI QIDQ2072903

Zunfeng Li, Yuying Qiao, Haipan Shi

Publication date: 26 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-021-02654-3

zbMATH Keywords

Parseval identitypartial differential equationsdifferential propertiestwo-sided fractional quaternion Fourier transform

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fractional derivatives and integrals (26A33)

Related Items (1)

Uncertainty principles for the fractional quaternion Fourier transform

Cites Work

• Tighter uncertainty principles based on quaternion Fourier transform
• A modified uncertainty principle for two-sided quaternion Fourier transform
• The quaternion domain Fourier transform and its properties
• The uncertainty principle for the two-sided quaternion Fourier transform
• Donoho-Stark's uncertainty principles in real Clifford algebras
• Quaternion Fourier transform on quaternion fields and generalizations
• Fractional convolution
• Real Paley–Wiener theorem for the quaternion Fourier transform
• Directional uncertainty principle for quaternion Fourier transform

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